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3 years ago

If sally saves 18% of the money she has earned ($200) how much money does she have left?

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

Answer:

164$

Step-by-step explanation:

18 percent of 200 is 36.

so subtract the 36 from 200 and get 164

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Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

8 0

2 years ago

EASY POINTS (attached)

solong [7]

Answer for the first one - it's complicated, but that maths is correct

I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576.

since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.

Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2

5 0

3 years ago

Read 2 more answers

Kayla has a piece of blue ribbon that is 18.35 inches long and a piece of

tankabanditka [31]

Answer:

1.85

Step-by-step explanation:

20.2-18.35=1.85

3 0

3 years ago

Length width height equals to 62, what is the maximum volume

joja [24]

Assuming that the given shape is a cuboid,

volume=l×w×h

v=s³ (since cuboids have same length, they have same side length)

62=s³
∛62=s
s=3.957 ≈ 4 units

Hope I helped :)

4 0

3 years ago

⅖ = ½ x Explain your reasoning

fomenos

x = 4/5

2/5=1/2x

Step 1: Flip the equation.

1/2x=2/5

Step 2: Multiply both sides by 2.

2*(1/2x)=2*(2/5)x=4/5

4 0

2 years ago